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  4. The area of the region enclosed between the curves y=x2, y=x and between the two lines x=2 and x =0, is

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Q. The area of the region enclosed between the curves $y=x^2, y=x$ and between the two lines $x=2$ and $x =0$, is

Application of Integrals

Solution:

$\int\limits_0^1\left(x-x^2\right) d x+\int\limits_1^2\left(x^2-x\right) d x=1$